Find the roots of the quadratic equation 12x^2 -8x + 1 whole 1/3 =0 ?
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3
Answer:
x = 1/3
Step-by-step explanation:
12x² - 8x + 1 1/3 = 0 1 1/3 = 4/3
12x² - 8x + 4/3 = 0 multiply by 3
36x² - 24x + 4 = 0
144 | 2
72 | 2
36 | 2
18 | 2
9 | 3
3 | 3
1
(36x - 12)(36x - 12) / 36 = 0
6(6x - 2)6(6x - 2) / 36 = 0
36(6x - 2)(6x - 2) / 36 = 0
(6x - 2)² = 0 root
6x - 2 = 0
6x = 2
x = 2/6
x = 1/3
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Step-by-step explanation:
Find the roots of the quadratic equation 12x^2 -8x + 1 whole 1/3 =0 ?
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